400974542073120 has 768 divisors, whose sum is σ = 1344814201995264. Its totient is φ = 100248440832000.

The previous prime is 400974542073101. The next prime is 400974542073139. The reversal of 400974542073120 is 21370245479004.

It is an interprime number because it is at equal distance from previous prime (400974542073101) and next prime (400974542073139).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 400974542073120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143666978925 + ... + 143666981715.

It is an arithmetic number, because the mean of its divisors is an integer number (1751060158848).

Almost surely, 2^{400974542073120} is an apocalyptic number.

400974542073120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400974542073120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672407100997632).

400974542073120 is an abundant number, since it is smaller than the sum of its proper divisors (943839659922144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400974542073120 is a wasteful number, since it uses less digits than its factorization.

400974542073120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 400974542073120 in words is "four hundred trillion, nine hundred seventy-four billion, five hundred forty-two million, seventy-three thousand, one hundred twenty".